Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240cc |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2160658022400 = 216 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4467,-90574] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:74:1] |
Generators of the group modulo torsion |
j |
3301293169/723600 |
j-invariant |
L |
7.8273644718772 |
L(r)(E,1)/r! |
Ω |
0.59309110598127 |
Real period |
R |
3.2993938000982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030j1 16080q1 |
Quadratic twists by: -4 -3 |